I’ve never seen a Muay Thai gym offer refund if your dtv is rejected - only if dtv rejected because of something specifically related to the gym?
If you enter name wrong on application and get rejected - how is this the gyms fault?
All of them will send you updated documents for your next application though - until you get it approved.
It’s a risk, and it sucks but it makes sense from the gyms side - too many silly things to go wrong on the dtv side for them to guarantee your success.
I could be wrong though - what does the refund policy state exactly?